Consistency of the Born approximation for Aharonov-Bohm scattering with massless spin- $frac{1}{2}$ particles

Abstract

The second order contribution for the relativistic scattering of massless spin- $frac{1}{2}$ particles from an infinitely long solenoid, in the context of covariant perturbation theory, is calculated and shown to vanish. Thus, Born approximation is consistent for this case as well.